TY - JOUR
T1 - Excess wealth order and sample spacings
AU - Kochar, Subhash
AU - Li, Xiaohu
AU - Xu, Maochao
PY - 2007/10
Y1 - 2007/10
N2 - In this note, we further study the properties of excess wealth (or right spread) order and the location independent riskier order. It is proved that if X is less variable than Y according to excess wealth order, then Xn : n - Xk : n ≤icx Yn : n - Yk : n for k = 0, 1, ..., n - 1, where X0 : n = Y0 : n ≡ 0. Similar results are obtained for location independent riskier order. An application in k-price business auction models is presented as well.
AB - In this note, we further study the properties of excess wealth (or right spread) order and the location independent riskier order. It is proved that if X is less variable than Y according to excess wealth order, then Xn : n - Xk : n ≤icx Yn : n - Yk : n for k = 0, 1, ..., n - 1, where X0 : n = Y0 : n ≡ 0. Similar results are obtained for location independent riskier order. An application in k-price business auction models is presented as well.
KW - Auction
KW - Increasing convex order
KW - Location independent riskier order
KW - Rent of winner
KW - Right spread order
KW - Sample range
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U2 - 10.1016/j.stamet.2006.11.002
DO - 10.1016/j.stamet.2006.11.002
M3 - Article
AN - SCOPUS:34548497164
SN - 1572-3127
VL - 4
SP - 385
EP - 392
JO - Statistical Methodology
JF - Statistical Methodology
IS - 4
ER -